Geometry for Schools. Theoretical. A sequel to Elementary Plane Geometry PDF Download
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Author: Alfred BAKER (Professor of Mathematics, University of Toronto.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 277
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Author: Alfred BAKER (Professor of Mathematics, University of Toronto.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 277
Get Book Here
Book Description
Author: Alfred Baker
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 277
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Book Description
Author: Alfred Baker
Publisher: Forgotten Books
ISBN: 9781528552189
Category : Mathematics
Languages : en
Pages : 284
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Book Description
Excerpt from Geometry for Schools, Theoretical: A Sequel to Elementary Plane Geometry, Inductive and Deductive A considerable number of the propositions in Euclid are of little or no importance in the scientific development of the subject, and should be discarded. A large part of Euclid, Book _ii., loses significance by reason of the permis sive use of algebraic forms. Much of Euclid, Book IV., is best dealt with as exercises in practical constructive Geometry. The change in the theory of Preportion makes certain propositions in Euclid, Book VI., very simple, or even unnecessary. The time thus set free may well he devoted to some more advanced Branch of Geometry, e.g., the elements of Analytical Geometry. In my Elementary Plane Geometry - Inductive and Deductive I have sought to show how a practical course in measurement, use of simple instruments, and accurate con struction may afford a training of value in itself, and also of service in anticipating the truths afterwards reached by deductive Geometry. In the present book I trust the second and third of the reforms, which teachers of mathematics have had in mind for years, and which are recommended in the Reports above referred to, may he found to have been Judiciouslv carried out. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Alfred Baker
Publisher: Forgotten Books
ISBN: 9781330348611
Category : Mathematics
Languages : en
Pages : 281
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Book Description
Excerpt from Geometry for Schools, Theoretical: A Sequel to Elementary Plane Geometry, Inductive and Deductive The question of improvement in the teaching of elementary Geometry has been so long under consideration and discussion, that agreement in the main has been reached as to the lines along which reform should proceed. Thus the Report of the Committee of the British Association, the Report of the Committee of the Mathematical Association (formerly the Association for the Improvement of Geometrical Teaching), the Report of the Syndicate of the Senate of the University of Cambridge, as well as the various publications on Elementary Geometry that have recently appeared, differ in details rather than in principles. There is a general consensus of opinion on the following points: (1). The study of formal demonstrative Geometry should be preceded by a practical course in inductive or experimental Geometry, There is general accord that this practical course should be continued during the period of elementary geometric studies. Thus the Senate of the University of Cambridge has decided that, "The paper in Geometry shall contain questions on Practical and on Theoretical Geometry. Every candidate shall be expected to answer questions in both branches of the subject." (2). The subject should not be dissociated from other branches of mathematics - Arithmetic and Algebra - studied at the same time. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Alva Walker Stamper
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 188
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Author: Victor Klee
Publisher: American Mathematical Soc.
ISBN: 1470454610
Category : Education
Languages : en
Pages : 333
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Book Description
Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.
Author: Thomas F. Holgate
Publisher: Forgotten Books
ISBN: 9781330109915
Category : Mathematics
Languages : en
Pages : 454
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Book Description
Excerpt from Elementary Geometry Plane and Solid: For Use in High Schools and Academies After the introductory chapter there are presented a few easy problems of construction in which the pupil will make free use of his ruler and compasses, and be introduced to the idea of a formal proof in connection with matters which he clearly sees need proving; other similar problems are inserted where they come in most naturally and are of most immediate interest. Abstract discussions, such as the theory of limits, have been postponed as far as possible in order to secure for their comprehension greater mathematical maturity. Young pupils do not readily assimilate theoretical or abstract principles, and it is best that these should be brought into but little prominence in the early parts of the subject. The exercises have been carefully selected and are intended to form an integral part of the work. They bear a direct relation, in most cases, to the propositions with which they are associated; those inserted at the ends of sections or chapters are for the most part of a more difficult character and may be omitted on a first reading. It is hoped that the classified summary at the end of each chapter will prove serviceable for purposes of review and for reference, and will also aid the pupil in systematizing his knowledge. Care has been taken to state the fundamental assumptions - the postulates - upon which the science rests, in as clear a form as possible, and to distinguish between assumption and axiomatic truth. Some things have been assumed which are often made matters of demonstration; for example, the fact that the perimeter of a regular polygon inscribed in a circle approaches a limit as the number of its sides is indefinitely increased. This admits of a rigorous proof, to be sure, but the proofs given in text-books on elementary geometry are as a rule either unsatisfactory or beyond the appreciation of the pupil. I have preferred openly to assume the property, - an assumption at which the pupil does not hesitate. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Francis William Newman
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 162
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Author: Antonio Caminha Muniz Neto
Publisher: Springer
ISBN: 3319779745
Category : Mathematics
Languages : en
Pages : 550
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Book Description
This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
Author: Gaspard Monge
Publisher:
ISBN:
Category : Geometry, Descriptive
Languages : en
Pages : 180
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Book Description
